4x+(3x-y)=3+i(-6)

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Solution for 4x+(3x-y)=3+i(-6) equation:


Simplifying
4x + (3x + -1y) = 3 + i(-6)

Remove parenthesis around (3x + -1y)
4x + 3x + -1y = 3 + i(-6)

Combine like terms: 4x + 3x = 7x
7x + -1y = 3 + i(-6)

Reorder the terms for easier multiplication:
7x + -1y = 3 + -6i

Solving
7x + -1y = 3 + -6i

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.
7x + -1y + y = 3 + -6i + y

Combine like terms: -1y + y = 0
7x + 0 = 3 + -6i + y
7x = 3 + -6i + y

Divide each side by '7'.
x = 0.4285714286 + -0.8571428571i + 0.1428571429y

Simplifying
x = 0.4285714286 + -0.8571428571i + 0.1428571429y

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